Free Printable NC Math 3 REVIEW #3

1.

Simplify 5y - 8z - (z + 3y) + 5(y - 2z).

a)

7y - 19z

b)

13y - 19z

c)

7y - 11z

d)

13y - 11z

2.

If f(x) = -1.5x - 1, give a coordinate point on the graph of f corresponding to f(-2)

a)

(2,-2)

b)

(-4, -2)

c)

(-2, 2)

d)

(-2, -4)

3.

Identify the set of ordered pairs that represents a function.

a)

{(1, -3), (-2, 8), (0, 0), (1, -2)}

b)

{(1, -1), (-2, -7), (0, 1), (-1, -1)}

c)

{(2, -3), (-3, 6), (-2, -2), (2, 3)}

d)

{(-3, 2), (1, 6), (2, 2), (1, 3)}

4.

Find the length of side AC.

a)

12

b)

10

c)

23

d)

14

5.

Find the measure of the missing angle.

a)

32°

b)

44°

c)

61°

d)

50°

6.

Find the measure of the missing angle.

a)

135^o

b)

35^o

c)

45^o

d)

30^o

7.

log (a / b) = ?

a)

log a - log b

b)

log a / log b

c)

log_a b

d)

log_b a

8.

log (a * b) = ?

a)

log a * log b

b)

log a + log b

c)

log a - log b

d)

a*log b

9.

Logarithmic functions are the inverse of...

a)

Linear Functions

b)

Exponential Functions

c)

Quadratic Functions

d)

Polynomial Functions

10.

Find x: log₅(x) = 0

a)

No Solution

b)

x = 0

c)

x = 5

d)

x = 1

11.

log_x1000=3

a)

1

b)

10

c)

30

d)

3

12.

What is the unit of measurement for angles?

a)

degree

b)

newton

c)

celsius

d)

inches

13.

How many outfits are possible with 5 pairs of jeans, 8 t-shirts, and 2 pairs of shoes?

a)

15

b)

40

c)

80

d)

10

14.

The graph of the function $m\left(x\right)=x^3+3x^2-2x-4$ has a zero at -1. What are the other zeros of the function?

a)

$-2\ and\ 2$

b)

$-1\ and\ 4$

c)

$-1\pm\sqrt{5}$

d)

$1\pm2\sqrt{3}$

15.

$\frac{\left(x^2-5x+6\right)^{-1}}{\left(x-2\right)^{-2}}\div\frac{\left(x-3\right)^{-1}}{\left(x-2\right)^{-2}}$

Which expression is equivalent to

a)

$\frac{\left(x-2\right)^3}{\left(x-3\right)^2}$

b)

$\frac{\left(x+2\right)^3}{\left(x+3\right)^2}$

c)

$\frac{1}{x-3}$

d)

$\frac{1}{x-2}$

16.

What is the remainder when $x^3-1$ is divided by $x+2$ ?

(a)

17.

The function below, $f\left(x\right)$ has $x-7$ and $x+4i$ as factors.
$f\left(x\right)=2x^5-13x^4+22x^3-187x^2+160x+336$
What is the total number of real zeros of $f\left(x\right)$ ?

(a)

18.

The graph of the function $m\left(x\right)=x^3+3x^2-2x-4$ has a zero at -1. What are the other zeros of the function?

a)

$-2\ and\ 2$

b)

$-1\ and\ 4$

c)

$-1\pm\sqrt{5}$

d)

$1\pm2\sqrt{3}$

19.

Which expression is equivalent to $\left(x^2-2x-37\right)$ divided by $\left(x^2-3x-40\right)$

a)

$1+\frac{x+3}{x^2-3x-40}$

b)

$1-\frac{x+3}{x^2-3x-40}$

c)

$1+\frac{2x-37}{x^2-3x-40}$

d)

$1-\frac{2x-37}{x^2-3x-40}$

20.

What value of A will make the equation true?

\frac{3x-5}{4x+3}+\frac{-2x+1}{7x-2}=

\frac{Ax^2+Bx+C}{\left(4x+3\right)\left(7x-2\right)}

a)

$12$

b)

$13$

c)

$16$

d)

$29$

21.

What value of B will make the equation true?

\frac{3x-5}{4x+3}+\frac{-2x+1}{7x-2}=

\frac{Ax^2+Bx+C}{\left(4x+3\right)\left(7x-2\right)}

a)

$-31$

b)

$-33$

c)

$-43$

d)

$-51$

22.

What value of C will make the equation true?

\frac{3x-5}{4x+3}+\frac{-2x+1}{7x-2}=

\frac{Ax^2+Bx+C}{\left(4x+3\right)\left(7x-2\right)}

a)

$-7$

b)

$-3$

c)

$13$

d)

$16$

23.

$\frac{\left(x^2-5x+6\right)^{-1}}{\left(x-2\right)^{-2}}\div\frac{\left(x-3\right)^{-1}}{\left(x-2\right)^{-2}}$

Which expression is equivalent to

a)

$\frac{\left(x-2\right)^3}{\left(x-3\right)^2}$

b)

$\frac{\left(x+2\right)^3}{\left(x+3\right)^2}$

c)

$\frac{1}{x-3}$

d)

$\frac{1}{x-2}$

24.

A company makes and boxes spaghetti.

~One machine fills each box with approximately 32 ounces of spaghetti.

~After the boxes are filled, another machine weighs each box.

~A box is discarded if the weight of the box differs by more than 0.25 ounce from the target weight of 32 ounces.

Which inequality can be used to find the range of acceptable weights, x, of the spaghetti?

a)

$\left|x-0.25\right|\le32$

b)

$\left|x+0.25\right|\le32$

c)

$\left|x-32\right|\le0.25$

d)

$\left|x+32\right|\le0.25$

25.

The graph of an equation is shown. Which equation represents the graph?

a)

$y=\left|x\right|-2$

b)

$y=\left|2x\right|-2$

c)

$y=\left|x-2\right|$

d)

$y=\left|2x-2\right|$

26.

Martha can paint a room in 2 hours. Jamie can paint the same room in 6 hours. How long, to the nearest tenth of an hour, will it take them to paint the room together? (number answer only)

(a)

27.

Two functions are shown below. $f\left(x\right)=2x^3+2x-3$
$g\left(x\right)=-0.5\left|x-4\right|$
What is the y-value when $f\left(x\right)=g\left(x\right)$ . Give your answer as an exact decimal.

(a)

28.

Which choice is equivalent to the expression shown below? $48x^3-243xy^2$

a)

$3x\left(4x^2-9y\right)\left(4x^2-9y\right)$

b)

$3x\left(4x^2-9y\right)\left(4x^2+9y\right)$

c)

$3x\left(4x-9y\right)\left(4x-9y\right)$

d)

$3x\left(4x-9y\right)\left(4x+9y\right)$

29.

A polynomial, $p\left(x\right)$ , has lead coefficient 1 and exactly 3 distinct zeros.
~ $x=-1$ is a zero of multiplicity two
~ $x=2$ is a zero of multiplicity one
~ $x=4$ is a zero of multiplicity one
What choice shows $p\left(x\right)$ ?

a)

$p\left(x\right)=x^3-5x^2+2x+8$

b)

$p\left(x\right)=x^3-5x^2+2x-8$

c)

$p\left(x\right)=x^4-4x^3-3x^2+10x+8$

d)

$p\left(x\right)=x^4+4x^3-3x^2-10x+8$

30.

If $f\left(x\right)=k\left(x-2\right)^4$ , where $k$ is positive, what is the effect on the graph of $f\left(x\right)$ as $k$ increases?

a)

The graph of $f\left(x\right)$ is shifted up.

b)

The graph of undefined is shifted down.

c)

The graph of undefined is stretched vertically.

d)

The graph of undefined is stretched horizontally.

31.

Two piecewise functions are shown. What is the value of $3h\left(2\right)+4g\left(1\right)$ ?

a)

$39$

b)

$28$

c)

$10$

d)

$-6$

32.

A function is show. What is the value of $h\left(-4\right)+3h\left(-2\right)$ ?

(a)

33.

The graph of a function is shown below. Which interval is the graph decreasing?

a)

$\left(-4,-1\right)$

b)

$\left[-2,0\right)$

c)

$\left(0,2\right]$

d)

$\left(0,4\right]$

34.

The graph of a function is shown below. Which interval is the graph increasing?

a)

$\left(-4,-1\right)$

b)

$\left[-2,0\right)$

c)

$\left(0,2\right]$

d)

$\left(0,4\right]$

35.

The graph of a function is shown below. Which interval is the graph positive?

a)

$\left(-4,-1\right)$

b)

$\left[-2,0\right)$

c)

$\left(0,2\right]$

d)

$\left(0,4\right]$

36.

The graph of a function is shown below. Which interval is the graph negative?

a)

$\left(-4,-1\right)$

b)

$\left[-2,0\right)$

c)

$\left(0,2\right]$

d)

$\left(0,4\right]$

37.

A function is shown below. $H\left(x\right)=4x^3-5x^2-23x+6$

What is the distance, the nearest hundredth of a unit, between the two zeros that are closest to each other?

(a)

38.

Which function does not have the set of all real numbers as its domain?

a)

$f\left(x\right)=5^x-3$

b)

$f\left(x\right)=\frac{x+1}{x+3}$

c)

$f\left(x\right)=\left|2x-1\right|$

d)

$f\left(x\right)=\cos\left(x\right)+1$

39.

An equation is shown below. $9^{\left(-3x+2\right)}=48$ What is the value of x to the nearest ten-thousandth?

a)

$0.0794$

b)

$0.0995$

c)

$0.4243$

d)

$0.4774$

40.

The diagram below shown an angle, $\theta$ , graphed in the xy-coordinate plane. Segment $RT$ is the initial side of the angle, and segment $RM$ is the terminal side. Segments $RT$ and $RM$ are radii of the unit circle centered at the origin $R\left(0,0\right)$ . The x-coordinate of point $M$ is $-\frac{1}{2}$ . What is the measure of $\theta$ to the nearest thousandth of a radian?

a)

$4.712$

b)

$4.189$

c)

$3.927$

d)

$3.665$

41.

A function, $f\left(x\right)=A\sin\left(Bx\right)+H$ , has the following properties:
~a period of 6
~a minimum value of 2
~ $f\left(2.5\right)=5$
~A, B, and H are all positive constants

What is the value of A?

a)

$2$

b)

$3$

c)

$4$

d)

$5$

42.

A function, $f\left(x\right)=A\sin\left(Bx\right)+H$ , has the following properties:
~a period of 6
~a minimum value of 2
~ $f\left(2.5\right)=5$
~A, B, and H are all positive constants

What is the value of B?

a)

$\frac{\pi}{2}$

b)

$\frac{\pi}{3}$

c)

$\frac{\pi}{4}$

d)

$\frac{\pi}{6}$

43.

A function, $f\left(x\right)=A\sin\left(Bx\right)+H$ , has the following properties:
~a period of 6
~a minimum value of 2
~ $f\left(2.5\right)=5$
~A, B, and H are all positive constants

What is the value of H?

a)

$2$

b)

$4$

c)

$6$

d)

$8$

44.

The vertices of a triangle are at (0,0), (6,6), and (9,3). What is the volume, in cubic units, of the figure created by rotating the triangle about $y=x$ ?

a)

$54\sqrt{2}$

b)

$324\sqrt{2}$

c)

$36\pi\sqrt{2}$

d)

$108\pi\sqrt{2}$

45.

In parallelogram $MNPT$ , $m\angle M=\left(6x+10\right)\degree$ and $m\angle N=\left(5x+10.5\right)\degree$ . How many degrees is $\angle T$ ?

(a)

46.

In rectangle $FGHI$ , diagonals $FH$ and $GI$ intersect at E.
~ $IE=3x+4$
~ $EG=5x-6$
What is the length of segment $FH$ ?

a)

5 units

b)

10 units

c)

19 units

d)

38 units

47.

Triangle $PMT$ is shown.
~ $GH=x+3$
~ $PG=4x+1$
~ $GJ=2x-1$
What is the measure of segment $PG$ ?

a)

4 units

b)

7 units

c)

14 units

d)

17 units

48.

What is the length of the radius of the circle represented by the equation $x^2+y^2-4x-4y+4=0$ ?

a)

2 units

b)

4 units

c)

8 units

d)

16 units

49.

David plans to cover the floor of his room with a new material.

~The floor is an isosceles trapezoid whose bases are 16 feet and 26 feet and sides are 13 feet in length.

~Each piece of new material has an area of 2.5 square feet.

Assuming the pieces of new material can be cut as needed, how many pieces does David need?

a)

$101$

b)

$126$

c)

$202$

d)

$252$

50.

Which method is most likely to produce a random sample of 5 students from a school club?

a)

selecting 5 club members who have brown hair

b)

selecting the 5 club members who have raised the most funds for the club

c)

selecting 5 club members from a hat containing the names of all members

d)

selecting the 5 club members who arrive last to a club meeting

51.

A high school randomly selected 75 of the 200 seniors at the school to take a sample college entrance exam. The mean grade point average (GPA) of the seniors was 2.85, and the standard deviation was 0.4. Select all of the statements that are true.

(Note: Margin of error $\approx2\frac{s}{\sqrt{n}}$ , where s is the standard deviation and n is the sample size.

a)

The margin of error for the mean grade point average is about 0.057.

b)

The margin of error for the mean grade point average is about 0.092.

c)

The margin of error would decrease if the sample size were changed to 125 seniors.

d)

The margin of error would increase if the sample size were changed to 125 seniors.

52.

The police chief of a town is trying to determine the average speed of drivers on a specific road.
~The police chief took a random sample of the speeds of 100 drivers on the road.
~The mean was 48.5 miles per hour, with a standard deviation of 2.5 miles per hour.
~The police chief wanted to decrease the margin of error of his next sample.
Which choice would decrease the margin of error?

Note: margin of error
$\approx2\frac{s}{\sqrt{n}}$ where s is the sample standard deviation and n is the sample size.

a)

decreasing the sample size

b)

increasing the sample size

c)

changing the time that the data is collected

d)

changing the road on which the data is collected

53.

What value of A will make the equation true?

\frac{3x-5}{4x+3}+\frac{-2x+1}{7x-2}=

\frac{Ax^2+Bx+C}{\left(4x+3\right)\left(7x-2\right)}

a)

$12$

b)

$13$

c)

$16$

d)

$29$

54.

Two functions are shown below. $f\left(x\right)=2x^3+2x-3$
$g\left(x\right)=-0.5\left|x-4\right|$
What is the y-value when $f\left(x\right)=g\left(x\right)$ . Give your answer as an exact decimal.

(a)

55.

Which choice is equivalent to the expression shown below? $48x^3-243xy^2$

a)

$3x\left(4x^2-9y\right)\left(4x^2-9y\right)$

b)

$3x\left(4x^2-9y\right)\left(4x^2+9y\right)$

c)

$3x\left(4x-9y\right)\left(4x-9y\right)$

d)

$3x\left(4x-9y\right)\left(4x+9y\right)$

56.

Two piecewise functions are shown. What is the value of $3h\left(2\right)+4g\left(1\right)$ ?

a)

$39$

b)

$28$

c)

$10$

d)

$-6$

57.

A function is show. What is the value of $h\left(-4\right)+3h\left(-2\right)$ ?

(a)

58.

The graph of a function is shown below. Which interval is the graph decreasing?

a)

$\left(-4,-1\right)$

b)

$\left[-2,0\right)$

c)

$\left(0,2\right]$

d)

$\left(0,4\right]$

59.

The graph of a function is shown below. Which interval is the graph increasing?

a)

$\left(-4,-1\right)$

b)

$\left[-2,0\right)$

c)

$\left(0,2\right]$

d)

$\left(0,4\right]$

60.

The graph of a function is shown below. Which interval is the graph positive?

a)

$\left(-4,-1\right)$

b)

$\left[-2,0\right)$

c)

$\left(0,2\right]$

d)

$\left(0,4\right]$

61.

The graph of a function is shown below. Which interval is the graph negative?

a)

$\left(-4,-1\right)$

b)

$\left[-2,0\right)$

c)

$\left(0,2\right]$

d)

$\left(0,4\right]$

62.

Which function does not have the set of all real numbers as its domain?

a)

$f\left(x\right)=5^x-3$

b)

$f\left(x\right)=\frac{x+1}{x+3}$

c)

$f\left(x\right)=\left|2x-1\right|$

d)

$f\left(x\right)=\cos\left(x\right)+1$

63.

Triangle $PMT$ is shown.
~ $GH=x+3$
~ $PG=4x+1$
~ $GJ=2x-1$
What is the measure of segment $PG$ ?

a)

4 units

b)

7 units

c)

14 units

d)

17 units

64.

What is the length of the radius of the circle represented by the equation $x^2+y^2-4x-4y+4=0$ ?

a)

2 units

b)

4 units

c)

8 units

d)

16 units

65.

a)

A

b)

B

c)

C

d)

D

66.

a)

A

b)

B

c)

C

d)

D

67.

a)

A

b)

B

c)

C

d)

D

68.

a)

A

b)

B

c)

C

d)

D

69.

a)

A

b)

B

c)

C

d)

D

70.

a)

A

b)

B

c)

C

d)

D

71.

a)

A

b)

B

c)

C

d)

D

72.

a)

A

b)

B

c)

C

d)

D

73.

a)

A

b)

B

c)

C

d)

D

74.

a)

A

b)

B

c)

C

d)

D

75.

a)

A

b)

B

c)

C

d)

D

76.

a)

A

b)

B

c)

C

d)

D

77.

a)

A

b)

B

c)

C

d)

D

78.

a)

A

b)

B

c)

C

d)

D

79.

a)

A

b)

B

c)

C

d)

D

80.

a)

A

b)

B

c)

C

d)

D

81.

a)

A

b)

B

c)

C

d)

D

82.

a)

A

b)

B

c)

C

d)

D

83.

a)

A

b)

B

c)

C

d)

D

84.

a)

A

b)

B

c)

C

d)

D

85.

a)

A

b)

B

c)

C

d)

D

86.

a)

A

b)

B

c)

C

d)

D

87.

a)

A

b)

B

c)

C

d)

D

88.

a)

A

b)

B

c)

C

d)

D

89.

a)

A

b)

B

c)

C

d)

D

90.

a)

A

b)

B

c)

C

d)

D

91.

a)

A

b)

B

c)

C

d)

D

92.

a)

A

b)

B

c)

C

d)

D

93.

a)

A

b)

B

c)

C

d)

D

94.

a)

A

b)

B

c)

C

d)

D

95.

a)

A

b)

B

c)

C

d)

D

96.

a)

A

b)

B

c)

C

d)

D

97.

a)

A

b)

B

c)

C

d)

D

98.

a)

A

b)

B

c)

C

d)

D

99.

a)

A

b)

B

c)

C

d)

D

100.

a)

A

b)

B

c)

C

d)

D

101.

a)

A

b)

B

c)

C

d)

D

102.

a)

A

b)

B

c)

C

d)

D

103.

a)

A

b)

B

c)

C

d)

D

104.

a)

A

b)

B

c)

C

d)

D

105.

a)

A

b)

B

c)

C

d)

D

106.

a)

A

b)

B

c)

C

d)

D

107.

a)

A

b)

B

c)

C

d)

D

108.

a)

A

b)

B

c)

C

d)

D

109.

a)

A

b)

B

c)

C

d)

D

110.

a)

A

b)

B

c)

C

d)

D

111.

a)

A

b)

B

c)

C

d)

D

112.

a)

A

b)

B

c)

C

d)

D

113.

a)

A

b)

B

c)

C

d)

D

114.

a)

A

b)

B

c)

C

d)

D

115.

a)

A

b)

B

c)

C

d)

D

116.

a)

A

b)

B

c)

C

d)

D

117.

a)

A

b)

B

c)

C

d)

D

118.

a)

A

b)

B

c)

C

d)

D

119.

a)

A

b)

B

c)

C

d)

D

120.

a)

A

b)

B

c)

C

d)

D

121.

a)

A

b)

B

c)

C

d)

D

122.

a)

A

b)

B

c)

C

d)

D

123.

a)

A

b)

B

c)

C

d)

D

124.

a)

A

b)

B

c)

C

d)

D

125.

a)

A

b)

B

c)

C

d)

D

126.

a)

A

b)

B

c)

C

d)

D

127.

a)

A

b)

B

c)

C

d)

D

128.

a)

A

b)

B

c)

C

d)

D

129.

a)

A

b)

B

c)

C

d)

D

130.

a)

A

b)

B

c)

C

d)

D

131.

a)

A

b)

B

c)

C

d)

D

132.

a)

A

b)

B

c)

C

d)

D

133.

a)

A

b)

B

c)

C

d)

D

134.

a)

A

b)

B

c)

C

d)

D

135.

a)

A

b)

B

c)

C

d)

D

136.

a)

A

b)

B

c)

C

d)

D

137.

a)

A

b)

B

c)

C

d)

D

138.

a)

A

b)

B

c)

C

d)

D

139.

a)

A

b)

B

c)

C

d)

D

140.

a)

A

b)

B

c)

C

d)

D

141.

a)

.5

b)

13

c)

14.5

d)

83

142.

a)

A

b)

B

c)

C

d)

D

143.

a)

A

b)

B

c)

C

d)

D

144.

Which center of triangles is the point of concurrency of the angle bisectors?

a)

Centroid

b)

Circumcenter

c)

Incenter

d)

Orthocenter

145.

A cylinder has a volume of 3400 cm² and a height of 55 cm. Find its radius.

a)

4.44

b)

8.88

c)

19.67

d)

81.82

146.

Which of the following is not a cross section of a cone?

a)

Ellipse

b)

Circle

c)

Triangle

d)

Trapezoid

147.

The pictured right triangle is rotated about its side with length x. Determine the volume of the resulting shape, to the nearest whole number.

a)

30

b)

50

c)

60

d)

150

148.

A square is rotated about one of its sides. Describe the resulting shape.

a)

Cube

b)

Rectangular Prism

c)

Cylinder

d)

Square Pyramid

149.

The president of Whitman College would like to build a statue of Marcus Whitman equidistant from the three residence halls on campus. Where would this statue be built?

a)

Treat the residence halls as sides of a triangle; build it on the incenter

b)

Treat the residence halls as vertices of a triangle; build it on the circumcenter

c)

Treat the residence halls as vertices of a triangle; build it on the centroid

d)

Treat the residence halls as vertices of a triangle; build it on the orthocenter

150.

Determine the radius of a circle with a central angle of 30 degrees subtended by an arc with a length of 61

a)

2.0

b)

29.5

c)

91.0

d)

116.5

151.

Given PC = 3x and YC = 10 - x, find the length of PY.

a)

2.5

b)

4

c)

15

d)

18

152.

Identify all the possible cross sections of a cylinder (you may select more than one answer)

a)

Circle

b)

Rectangle

c)

Square

d)

Ellipse

e)

None of these are correct

153.

What is the center and radius of (x - 2)² + (y + 10)² = 81

a)

C = (-2, 10); r = 81

b)

C = (-2, 10); r = 9

c)

C = (2, -10); r = 81

d)

C = (2, -10); r = 9

154.

Find the center and radius of 2x² + 4x + 2y² - 6y = 6

a)

C = (-4, 6); r = 6

b)

C = (-2, 3); r = 4

c)

C = (2, -3); r = 2

d)

C = (2, -3); r = 4

155.

Find the measure of angle x

a)

45

b)

50

c)

105

d)

210

156.

A cylinder has a volume of 3400 cm² and a height of 55 cm. Find its radius.

a)

4.44

b)

8.88

c)

19.67

d)

81.82

157.

What is the center and radius of (x - 2)² + (y + 10)² = 81

a)

C = (-2, 10); r = 81

b)

C = (-2, 10); r = 9

c)

C = (2, -10); r = 81

d)

C = (2, -10); r = 9

158.

a)

A

b)

B

c)

C

d)

D

159.

a)

A

b)

B

c)

C

d)

D

160.

a)

A

b)

B

c)

C

d)

D

161.

a)

A

b)

B

c)

C

d)

D

162.

a)

A

b)

B

c)

C

d)

D

163.

a)

.5

b)

13

c)

14.5

d)

83

164.

a)

A

b)

B

c)

C

d)

D

165.

a)

A

b)

B

c)

C

d)

D

166.

Which center of triangles is the point of concurrency of the angle bisectors?

a)

Centroid

b)

Circumcenter

c)

Incenter

d)

Orthocenter

167.

A cylinder has a volume of 3400 cm² and a height of 55 cm. Find its radius.

a)

4.44

b)

8.88

c)

19.67

d)

81.82

168.

Which of the following is not a cross section of a cone?

a)

Ellipse

b)

Circle

c)

Triangle

d)

Trapezoid

169.

The pictured right triangle is rotated about its side with length x. Determine the volume of the resulting shape, to the nearest whole number.

a)

30

b)

50

c)

60

d)

150

170.

A square is rotated about one of its sides. Describe the resulting shape.

a)

Cube

b)

Rectangular Prism

c)

Cylinder

d)

Square Pyramid

171.

The president of Whitman College would like to build a statue of Marcus Whitman equidistant from the three residence halls on campus. Where would this statue be built?

a)

Treat the residence halls as sides of a triangle; build it on the incenter

b)

Treat the residence halls as vertices of a triangle; build it on the circumcenter

c)

Treat the residence halls as vertices of a triangle; build it on the centroid

d)

Treat the residence halls as vertices of a triangle; build it on the orthocenter

172.

Determine the radius of a circle with a central angle of 30 degrees subtended by an arc with a length of 61

a)

2.0

b)

29.5

c)

91.0

d)

116.5

173.

Given PC = 3x and YC = 10 - x, find the length of PY.

a)

2.5

b)

4

c)

15

d)

18

174.

Identify all the possible cross sections of a cylinder (you may select more than one answer)

a)

Circle

b)

Rectangle

c)

Square

d)

Ellipse

e)

None of these are correct

175.

What is the center and radius of (x - 2)² + (y + 10)² = 81

a)

C = (-2, 10); r = 81

b)

C = (-2, 10); r = 9

c)

C = (2, -10); r = 81

d)

C = (2, -10); r = 9

176.

Find the center and radius of 2x² + 4x + 2y² - 6y = 6

a)

C = (-4, 6); r = 6

b)

C = (-2, 3); r = 4

c)

C = (2, -3); r = 2

d)

C = (2, -3); r = 4

177.

Find the measure of angle x

a)

45

b)

50

c)

105

d)

210

NC Math 3 REVIEW #3

Total questions: 177

Worksheet time: 15hrs 1mins

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